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Finding the Fourth Proportional to 1,409.96, 2,114.38 and 587.80

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Solution

The fourth proportional to 1,409.96, 2,114.38 and 587.80 is: 881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.96 : 2,114.38 = 587.80 : x
  2. Step 2: Convert to fraction form
    1,409.96/2,114.38 = 587.80/x
  3. Step 3: Cross multiply
    1,409.96x = 2,114.38 × 587.80
  4. Step 4: Simplify right side
    1,409.96x = 1,242,832.56
  5. Step 5: Solve for x
    x = 1,242,832.56/1,409.96
  6. Step 6: Final answer
    x = 881.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.